Quantum Physics

General Spin Dirac Equation (II)

In the reading Nyambuya (2009), it is shown that one can write down a general spin Dirac equation by modifying the usual Einstein energy-momentum equation via the insertion of the quantity ``s" which is identified with the spin of the particle. That is to say, a Dirac equation that describes a particle of spin \frac{1}{2}s\hbar\vec{\sigma} where \hbar is the normalised Planck constant, \vec{\sigma} are the Pauli 2 \times 2 matrices and s=(\pm 1, \pm2,\pm 3, \,\dots etc). What is not clear in this reading Nyambuya (2009) is how such a modified energy-momentum relation would arise in Nature. At the end of the day, the insertion by lathe of hand of the quantity ``s" into the usual Einstein energy-momentum equation, would then appear to be nothing more than speculation. In the present reading -- by making use of the curved spacetime Dirac equations proposed in the work Nyambuya (2008), we move the exercise of Nyambuya (2009) from the realm of speculation to that of plausibility

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